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31 Aug 2014, 11:58
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Hello Future CEOs, CEOs and Instructors of Future CEOs 
I have come across a problem in the GMATCLUB Test as follows:
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?
16
27
31
32
64
The OA is 32.
However, if I use the "standard approach": 5C5 + 5C4 + 5C3 + 5C2 + 5C1, my answer is 31.
The reason why OA is 32 because the question "assumes" there is an empty set. Apparently this is not a common one because according to the test status, more than 70% of people got it wrong. Please could anyone suggest when I see the word "subsets" in GMAT, shall I include the empty set?
Thank you guys, good luck in all your applications!
Gordon
I have come across a problem in the GMATCLUB Test as follows:
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?
16
27
31
32
64
The OA is 32.
However, if I use the "standard approach": 5C5 + 5C4 + 5C3 + 5C2 + 5C1, my answer is 31.
The reason why OA is 32 because the question "assumes" there is an empty set. Apparently this is not a common one because according to the test status, more than 70% of people got it wrong. Please could anyone suggest when I see the word "subsets" in GMAT, shall I include the empty set?
Thank you guys, good luck in all your applications!
Gordon
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
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02 Sep 2014, 10:42
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gordonf35
Yes By definition when the term subset is mentioned then the empty set {} or null set is also included in it.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
